Arithmetical Semigroups Related to Trees and Polyhedra, II — Maps on Surfaces

2002 ◽  
Vol 235 (1) ◽  
pp. 59-81 ◽  
Author(s):  
John Knopfmacher ◽  
Richard Warlimont
Keyword(s):  
Arithmetical Semigroups

Some Arithmetical Semigroups

1990 ◽  
pp. 255-264 ◽  
Author(s):  
A. S. Fraenkel ◽  
H. Porta ◽  
K. B. Stolarsky
Keyword(s):  
Arithmetical Semigroups

scholarly journals Remarks on number theory over additive arithmetical semigroups

2020 ◽  
Vol 72 (3) ◽  
pp. 371-390
Author(s):  
K.-H. Indlekofer ◽  
E. Kaya
Keyword(s):  
Number Theory ◽  
Prime Number ◽  
Distribution Of Zeros ◽  
Arithmetical Semigroups

UDC 511 We deal with additive arithmetical semigroups and present old and new proofs for the distribution of zeros of the corresponding ζ -functions.  We use these results to prove prime number theorems and a Selberg formula for such semigroups.

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